document.write( "Question 160013: Write an equation of the line containing the given point and perpendicular to the given line.\r
\n" );
document.write( "\n" );
document.write( "(3,5);6x+y=2\r
\n" );
document.write( "\n" );
document.write( "The equation of the line is y= ____ \n" );
document.write( "
Algebra.Com's Answer #117988 by nabla(475) ![]() You can put this solution on YOUR website! [1] Find the slope of the given line: \n" ); document.write( "y=-6x+2 \n" ); document.write( "gives m=-6=slope\r \n" ); document.write( "\n" ); document.write( "[2] A perpendicular line will have slope -1/m. In this case, -1/m=1/6\r \n" ); document.write( "\n" ); document.write( "[3] Apply point slope form y-y1=m(x-x1) with point (3,5)=(x1,y1).\r \n" ); document.write( "\n" ); document.write( "y-5=(1/6)(x-3) \n" ); document.write( "y=(1/6)x-1/2+10/2 \n" ); document.write( "y=(1/6)x+9/2.\r \n" ); document.write( "\n" ); document.write( "Finished \n" ); document.write( " |